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<div class="title">std::student_t_distribution&lt; _RealType &gt; Class Template Reference<div class="ingroups"><a class="el" href="a01476.html">Numerics</a> &raquo; <a class="el" href="a01494.html">Random Number Generation</a> &raquo; <a class="el" href="a01535.html">Random Number Distributions</a> &raquo; <a class="el" href="a01537.html">Normal Distributions</a></div></div>  </div>
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&#160;</td><td class="memItemRight" valign="bottom"><b>student_t_distribution</b> (_RealType __n=_RealType(1))</td></tr>
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&#160;</td><td class="memItemRight" valign="bottom"><b>student_t_distribution</b> (const <a class="el" href="a06363.html">param_type</a> &amp;__p)</td></tr>
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template&lt;typename _ForwardIterator , typename _UniformRandomNumberGenerator &gt; </td></tr>
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template&lt;typename _ForwardIterator , typename _UniformRandomNumberGenerator &gt; </td></tr>
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template&lt;typename _UniformRandomNumberGenerator &gt; </td></tr>
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_RealType&#160;</td><td class="memItemRight" valign="bottom"><b>n</b> () const</td></tr>
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<tr class="memitem:a79b8f920240c03c968f96fc34b15c409"><td class="memTemplParams" colspan="2">template&lt;typename _UniformRandomNumberGenerator &gt; </td></tr>
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template&lt;typename _UniformRandomNumberGenerator &gt; </td></tr>
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Friends</h2></td></tr>
<tr class="memitem:a933f8fad751874c75b687b3c6db144b4"><td class="memTemplParams" colspan="2">template&lt;typename _RealType1 , typename _CharT , typename _Traits &gt; </td></tr>
<tr class="memitem:a933f8fad751874c75b687b3c6db144b4"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06359.html#a933f8fad751874c75b687b3c6db144b4">operator&lt;&lt;</a> (<a class="el" href="a02463.html">std::basic_ostream</a>&lt; _CharT, _Traits &gt; &amp;__os, const <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType1 &gt; &amp;__x)</td></tr>
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<tr class="memitem:a50ff04920a1b422339cdf87368d1bb36"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a06359.html#a50ff04920a1b422339cdf87368d1bb36">operator==</a> (const <a class="el" href="a06359.html">student_t_distribution</a> &amp;__d1, const <a class="el" href="a06359.html">student_t_distribution</a> &amp;__d2)</td></tr>
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<tr class="memitem:a23626484794f6d9d4377d3fa16989f91"><td class="memTemplParams" colspan="2">template&lt;typename _RealType1 , typename _CharT , typename _Traits &gt; </td></tr>
<tr class="memitem:a23626484794f6d9d4377d3fa16989f91"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="a02459.html">std::basic_istream</a>&lt; _CharT, _Traits &gt; &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a06359.html#a23626484794f6d9d4377d3fa16989f91">operator&gt;&gt;</a> (<a class="el" href="a02459.html">std::basic_istream</a>&lt; _CharT, _Traits &gt; &amp;__is, <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType1 &gt; &amp;__x)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template&lt;typename _RealType = double&gt;<br />
class std::student_t_distribution&lt; _RealType &gt;</h3>

<p>A student_t_distribution random number distribution. </p>
<p>The formula for the normal probability mass function is: </p><p class="formulaDsp">
<img class="formulaDsp" alt="\[ p(x|n) = \frac{1}{\sqrt(n\pi)} \frac{\Gamma((n+1)/2)}{\Gamma(n/2)} (1 + \frac{x^2}{n}) ^{-(n+1)/2} \]" src="form_11.png"/>
</p>
 
<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03229">3229</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>
</div><h2 class="groupheader">Member Typedef Documentation</h2>
<a id="a63439550169b26a1333639493db44e3b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a63439550169b26a1333639493db44e3b">&#9670;&nbsp;</a></span>result_type</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname">typedef _RealType <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType &gt;::<a class="el" href="a06359.html#a63439550169b26a1333639493db44e3b">result_type</a></td>
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<p>The type of the range of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03232">3232</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
<a id="a3aa9a19c585c414c605558b3af9a86ec"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3aa9a19c585c414c605558b3af9a86ec">&#9670;&nbsp;</a></span>max()</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname"><a class="el" href="a06359.html#a63439550169b26a1333639493db44e3b">result_type</a> <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType &gt;::max </td>
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<p>Returns the least upper bound value of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03317">3317</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">References <a class="el" href="a00095_source.html#l00321">std::numeric_limits&lt; _Tp &gt;::max()</a>.</p>

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<a id="a40bd6b63baec90b927fc13bb5d3b2bba"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40bd6b63baec90b927fc13bb5d3b2bba">&#9670;&nbsp;</a></span>min()</h2>

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template&lt;typename _RealType = double&gt; </div>
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          <td class="memname"><a class="el" href="a06359.html#a63439550169b26a1333639493db44e3b">result_type</a> <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType &gt;::min </td>
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<p>Returns the greatest lower bound value of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03310">3310</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">References <a class="el" href="a00095_source.html#l00327">std::numeric_limits&lt; _Tp &gt;::lowest()</a>.</p>

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<a id="a79b8f920240c03c968f96fc34b15c409"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a79b8f920240c03c968f96fc34b15c409">&#9670;&nbsp;</a></span>operator()()</h2>

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template&lt;typename _RealType = double&gt; </div>
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template&lt;typename _UniformRandomNumberGenerator &gt; </div>
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          <td class="memname"><a class="el" href="a06359.html#a63439550169b26a1333639493db44e3b">result_type</a> <a class="el" href="a06359.html">std::student_t_distribution</a>&lt; _RealType &gt;::operator() </td>
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<p>Generating functions. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03325">3325</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">References <a class="el" href="a00053_source.html#l00922">std::sqrt()</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#af8715393519007f3325e7b696fc07967">&#9670;&nbsp;</a></span>param() <span class="overload">[1/2]</span></h2>

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template&lt;typename _RealType = double&gt; </div>
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<p>Returns the parameter set of the distribution. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03295">3295</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a1419abb07831366ab3d01907a8057427">&#9670;&nbsp;</a></span>param() <span class="overload">[2/2]</span></h2>

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<p>Sets the parameter set of the distribution. </p>
<dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">__param</td><td>The new parameter set of the distribution. </td></tr>
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<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03303">3303</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a48d5f501c9847b3688480efece2a0f8c">&#9670;&nbsp;</a></span>reset()</h2>

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<p>Resets the distribution state. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03278">3278</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

<p class="reference">References <a class="el" href="a00452_source.html#l01989">std::normal_distribution&lt; _RealType &gt;::reset()</a>, and <a class="el" href="a00452_source.html#l02423">std::gamma_distribution&lt; _RealType &gt;::reset()</a>.</p>

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<h2 class="groupheader">Friends And Related Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a933f8fad751874c75b687b3c6db144b4">&#9670;&nbsp;</a></span>operator&lt;&lt;</h2>

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template&lt;typename _RealType = double&gt; </div>
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<p>Inserts a student_t_distribution random number distribution <code>__x</code> into the output stream <code>__os</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">__os</td><td>An output stream. </td></tr>
    <tr><td class="paramname">__x</td><td>A student_t_distribution random number distribution.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The output stream with the state of <code>__x</code> inserted or in an error state. </dd></dl>

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<h2 class="memtitle"><span class="permalink"><a href="#a50ff04920a1b422339cdf87368d1bb36">&#9670;&nbsp;</a></span>operator==</h2>

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<p>Return true if two Student t distributions have the same parameters and the sequences that would be generated are equal. </p>

<p class="definition">Definition at line <a class="el" href="a00452_source.html#l03374">3374</a> of file <a class="el" href="a00452_source.html">random.h</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#a23626484794f6d9d4377d3fa16989f91">&#9670;&nbsp;</a></span>operator&gt;&gt;</h2>

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template&lt;typename _RealType = double&gt; </div>
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<p>Extracts a student_t_distribution random number distribution <code>__x</code> from the input stream <code>__is</code>. </p>
<dl class="params"><dt>Parameters</dt><dd>
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    <tr><td class="paramname">__is</td><td>An input stream. </td></tr>
    <tr><td class="paramname">__x</td><td>A student_t_distribution random number generator engine.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>The input stream with <code>__x</code> extracted or in an error state. </dd></dl>

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<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="a00452_source.html">random.h</a></li>
<li><a class="el" href="a17058_source.html">bits/random.tcc</a></li>
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